Alright, this is very similar to what I've been doing lately, so I'll try to explain it as simply as possible:
In equations like this, you have to follow the order of operation BODMAS (Brackets Orders Division Multiplication Addition Subtraction) as shown
here. First deal with any unsolved brackets, then exponents/roots, then divisions, then multiplications, then additions, then finally, subtractions.
Now I'll solve this for you as an example:
5 - 12X = 8 - 7X - [6/3 (2+5³) + 5X]
5 - 12X = 8 - 7X - [2 (2+125) + 5X]
5 - 12X = 8 - 7X - [4 + 250 + 5X]
Now shift all the constants to the L.H.S (or left hand side), and all the variables to the right hand side (or R.H.S):
5 - 8 = -7X + 12X - [4 + 250 + 5X]
-3 = 5X - [254 + 5X]
Now here's how you eliminate those brackets:
-3 = 5X - 254 - 5X (the previous negative sign changed the signs into -ve ones for the entire bracket function).
Now cancel out the 5X along with the -5X and you get:
-3 = -254
Shift all the constants once again to the L.H.S:
-3 + 254 = 0
Therefore you get: 251 = 0
Therefore the answer is refused or false.
Yes, I'm not bluffing.
And to be even more sure of it, just copy & paste your equation
here for the solution (which will be false too
).
Hope this helped.